Beacuse ABCD is a kite, angles A and C are congruent. Also, we know that the sum of the angles of a quadrilateral (kites included) is 360. So the equation will be:
[tex]135+(4x+24)+(4x+24)+65=360[/tex]
Let us simplify:
[tex]\begin{gathered} (135+24+24+65)+(4x+4x)=360 \\ 248+8x=360 \\ 248-248+8x=360-248 \\ 8x=112 \\ \frac{8x}{8}=\frac{112}{8} \\ \\ x=14 \end{gathered}[/tex]
The answer is x = 14.
